X-ray absorption, photoemission and time-dependent transport

• Grant number: 22/09312-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2022
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Luiz Nunes de Oliveira
• Grantee: Felipe Donizete Picoli
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 24/05637-1 - Spectral functions from ground-state DMRG computations, BE.EP.DR

Abstract

The thrust of the proposal is the development of a new method. The research project will try to develop a numerical renormalization-group (NRG) procedure targeting time-dependent properties for simple models describing quantum dots coupled to electron gases. The formalism will exploit general properties of a continuous renormalization-group transformation distilled from the discrete transformation defining the NRG method. Two applications are envisioned. In the first one, the time-dependent photoemission current in three simple systems will be computed. The second application will explore a variation of a recently proposed real-space formulation of the numerical renormalization-group method to study a non-equilibrium transport problem.